Cartesian coordinate system
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a set of numerical coordinates , which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length . Each reference line is called a coordinate axis or just axis (plural axes ) of the system, and the point where they meet is its origin , at ordered pair (0, 0) . The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin.
Page Revisions
| Year | Metadata | Sections | Top Words | First Paragraph |
| 2018 |
151319 characters 30 sections 79 paragraphs 10 images 153 internal links 18 external links |
4. Cartesian formulae for the plane |
cartesian 0.499 coordinates 0.350 coordinate 0.334 axis 0.306 axes 0.190 euclidean 0.157 dimensional 0.144 plane 0.141 displaystyle 0.120 point 0.119 theta 0.096 transformations 0.094 descartes 0.090 perpendicular 0.088 θ 0.088 |
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a set of numerical coordinates , which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length . Each reference line is called a coordinate axis or just axis (plural axes ) of the system, and the point where they meet is its origin , at ordered pair (0, 0) . The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin. |
| 2017 |
147320 characters 30 sections 74 paragraphs 10 images 155 internal links 18 external links |
4. Cartesian formulae for the plane |
cartesian 0.501 coordinate 0.333 coordinates 0.321 axis 0.292 axes 0.209 dimensional 0.161 euclidean 0.157 plane 0.147 displaystyle 0.128 point 0.119 theta 0.102 perpendicular 0.101 transformations 0.101 descartes 0.096 θ 0.094 |
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates , which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length . Each reference line is called a coordinate axis or just axis (plural axes ) of the system, and the point where they meet is its origin , at ordered pair (0, 0) . The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin. |
| 2016 |
143876 characters 31 sections 74 paragraphs 10 images 155 internal links 17 external links |
4. Cartesian formulae for the plane |
cartesian 0.498 coordinate 0.331 coordinates 0.326 axis 0.281 axes 0.213 dimensional 0.164 euclidean 0.159 plane 0.149 displaystyle 0.130 point 0.121 theta 0.104 perpendicular 0.102 transformations 0.102 θ 0.095 affine 0.094 |
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates , which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length . Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin , usually at ordered pair (0, 0) . The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin. |
| 2015 |
141967 characters 31 sections 73 paragraphs 10 images 149 internal links 15 external links |
4. Cartesian formulae for the plane |
cartesian 0.502 coordinates 0.328 coordinate 0.325 axis 0.276 axes 0.214 euclidean 0.160 dimensional 0.157 plane 0.141 displaystyle 0.131 point 0.114 theta 0.105 perpendicular 0.103 transformations 0.103 descartes 0.098 θ 0.096 |
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates , which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length . Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin , usually at ordered pair (0, 0) . The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin. |
| 2014 |
141675 characters 31 sections 73 paragraphs 10 images 147 internal links 15 external links |
4. Cartesian formulas for the plane |
cartesian 0.504 coordinates 0.330 coordinate 0.327 axis 0.277 axes 0.215 euclidean 0.161 dimensional 0.158 plane 0.136 displaystyle 0.131 point 0.115 theta 0.105 perpendicular 0.104 transformations 0.104 descartes 0.098 θ 0.096 |
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates , which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length . Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin , usually at ordered pair (0, 0) . The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin. |
| 2013 |
141294 characters 30 sections 73 paragraphs 10 images 150 internal links 15 external links |
5. Cartesian formulas for the plane |
cartesian 0.505 coordinate 0.327 coordinates 0.325 axis 0.273 axes 0.216 dimensional 0.173 euclidean 0.150 plane 0.132 displaystyle 0.132 point 0.115 theta 0.106 perpendicular 0.104 transformations 0.104 descartes 0.099 θ 0.096 |
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates , which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length . Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin , usually at ordered pair (0, 0). The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin. |
| 2012 |
135976 characters 30 sections 71 paragraphs 9 images 145 internal links 14 external links |
5. Cartesian formulas for the plane |
cartesian 0.508 coordinate 0.335 coordinates 0.284 axis 0.268 axes 0.206 dimensional 0.186 euclidean 0.149 plane 0.142 displaystyle 0.142 transformations 0.124 theta 0.113 point 0.113 perpendicular 0.104 θ 0.104 handed 0.093 |
A Cartesian coordinate system specifies each point uniquely in a plane by a pair of numerical coordinates , which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length . Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin , usually at ordered pair (0,0). The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin. |
| 2011 |
122881 characters 28 sections 64 paragraphs 8 images 135 internal links 12 external links |
5. Cartesian formulas for the plane |
cartesian 0.506 coordinate 0.341 coordinates 0.297 axis 0.280 axes 0.222 dimensional 0.186 displaystyle 0.148 plane 0.143 euclidean 0.130 theta 0.119 point 0.118 perpendicular 0.109 θ 0.108 handed 0.098 cos 0.092 |
A Cartesian coordinate system specifies each point uniquely in a plane by a pair of numerical coordinates , which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length . Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin , usually at ordered pair (0,0). The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin. |
| 2010 |
114720 characters 26 sections 58 paragraphs 9 images 142 internal links 12 external links |
5. Cartesian formulas for the plane |
cartesian 0.505 coordinate 0.367 coordinates 0.293 axis 0.254 axes 0.246 displaystyle 0.195 dimensional 0.182 plane 0.143 perpendicular 0.126 point 0.117 handed 0.105 descartes 0.104 mathbf 0.093 euclidean 0.084 points 0.084 |
A Cartesian coordinate system specifies each point uniquely in a plane by a pair of numerical coordinates , which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length . The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as a signed distances from the origin. |
| 2009 |
108632 characters 27 sections 53 paragraphs 8 images 131 internal links 13 external links |
5. Cartesian formulas for the plane |
cartesian 0.509 coordinate 0.360 coordinates 0.284 axis 0.260 displaystyle 0.207 axes 0.206 dimensional 0.194 mathbf 0.156 plane 0.140 point 0.125 handed 0.112 descartes 0.111 perpendicular 0.107 choosing 0.091 euclidean 0.089 |
A Cartesian coordinate system specifies each point uniquely in a plane by a pair of numerical coordinates , which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length . |
| 2008 |
69272 characters 13 sections 31 paragraphs 9 images 101 internal links 11 external links |
2. Two-dimensional coordinate system 3. Three-dimensional coordinate system |
coordinate 0.487 cartesian 0.386 axis 0.242 mathbf 0.223 coordinates 0.214 displaystyle 0.189 axes 0.182 xy 0.182 dimensional 0.181 plane 0.166 handed 0.161 figure 0.114 descartes 0.114 positive 0.103 dimensions 0.095 |
In mathematics , the Cartesian coordinate system (also called rectangular coordinate system ) is used to determine each point uniquely in a plane through two numbers , usually called the x-coordinate or abscissa and the y-coordinate or ordinate of the point. To define the coordinates, two perpendicular directed lines (the x-axis , and the y-axis ), are specified, as well as the unit length , which is marked off on the two axes (see Figure 1). Cartesian coordinate systems are also used in space (where three coordinates are used) and in higher dimensions . |
| 2007 |
49597 characters 12 sections 32 paragraphs 8 images 74 internal links 3 external links |
2. Two-dimensional coordinate system 3. Three-dimensional coordinate system |
coordinate 0.508 cartesian 0.399 axis 0.252 mathbf 0.219 axes 0.201 coordinates 0.200 handed 0.193 xy 0.179 dimensional 0.164 displaystyle 0.159 plane 0.154 descartes 0.134 pointing 0.116 figure 0.112 positive 0.102 |
In mathematics , the Cartesian coordinate system (also called rectangular coordinate system ) is used to determine each point uniquely in a plane through two numbers , usually called the x-coordinate and the y-coordinate of the point. To define the coordinates, two perpendicular directed lines (the x-axis or abscissa , and the y-axis or ordinate ), are specified, as well as the unit length , which is marked off on the two axes (see Figure 1). Cartesian coordinate systems are also used in space (where three coordinates are used) and in higher dimensions . |
| 2006 |
35265 characters 14 sections 27 paragraphs 8 images 80 internal links 4 external links |
1. Two-dimensional coordinate system 2. Three-dimensional coordinate system |
coordinate 0.568 axis 0.290 cartesian 0.284 xy 0.212 handed 0.208 coordinates 0.202 dimensional 0.195 plane 0.173 axes 0.173 figure 0.133 descartes 0.133 quadrant 0.110 pointing 0.110 positive 0.108 quadrants 0.099 |
In mathematics , the Cartesian coordinate system is used to determine each point uniquely in a plane through two numbers , usually called the x-coordinate and the y-coordinate of the point. To define the coordinates, two perpendicular directed lines (the x-axis or abscissa and the y-axis or ordinate ), are specified, as well as the unit length , which is marked off on the two axes (see Figure 1). Cartesian coordinate systems are also used in space (where three coordinates are used) and in higher dimensions . |
| 2005 |
16216 characters 7 sections 22 paragraphs 5 images 32 internal links 2 external links |
1. Two-dimensional coordinate system |
coordinate 0.410 cartesian 0.353 handed 0.248 dimensional 0.242 axes 0.237 descartes 0.237 xy 0.198 coordinates 0.194 plane 0.151 quadrants 0.148 dimensions 0.144 axis 0.140 labeled 0.130 geometry 0.109 dimension 0.103 |
Cartesian means relating to the French mathematician and philosopher Descartes , who, among other things, worked to merge algebra and Euclidean geometry . This work was influential in the development of analytic geometry , calculus , and cartography . |
| 2004 |
15733 characters 7 sections 22 paragraphs 5 images 33 internal links 1 external links |
1. Two-dimensional coordinate system |
coordinate 0.418 handed 0.289 descartes 0.276 axes 0.254 cartesian 0.246 dimensional 0.226 xy 0.184 dimensions 0.168 coordinates 0.165 axis 0.163 plane 0.159 jpg 0.138 labeled 0.130 geometry 0.127 dimension 0.119 |
Cartesian means relating to the French mathematician and philosopher Descartes , who, among other things, worked to merge algebra and Euclidean geometry . This work was influential to the development of analytic geometry , calculus , and cartography . |
| 2003 |
10394 characters 3 sections 18 paragraphs 2 images 26 internal links 0 external links |
coordinate 0.480 axes 0.301 descartes 0.278 cartesian 0.206 finger 0.181 handed 0.181 axis 0.179 dimensional 0.170 thumb 0.170 dimensions 0.169 jpg 0.139 labeled 0.130 dimension 0.120 coordinates 0.103 geometry 0.102 |
|
|
| 2002 |
9625 characters 3 sections 16 paragraphs 2 images 17 internal links 0 external links |
coordinate 0.469 axes 0.317 descartes 0.226 cartesian 0.202 finger 0.177 handed 0.177 axis 0.175 dimensional 0.166 thumb 0.166 dimensions 0.165 discourse 0.150 jpg 0.136 labeled 0.127 geometry 0.125 dimension 0.117 |
The term ' Cartesian ' originates from the last name of the famous French philosopher, René Descartes in tribute to his profound system of investigation published anonymously in 1637 titled Discourse on the Method of Rightly Conducting the Reason in the Search for Truth in the Sciences . It is commonly referred to as Discourse on Method . In part two, he introduces the new idea of specifying the position of a point or object on a surface, using two intersecting axes as measuring guides; he further explores this in Geometry , book two of the volume as it was originally published. This idea provided the bridge between ancient Greek Euclidean geometry and algebra , leading to a revolution in mathematics and natural sciences . It is one of the important tools used in analytic geometry , calculus , and cartography . |